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In this paper, we study a generalized Tanaka-Webster connection on a Kenmotsu manifold. We study the conharmonic curvature tensor with respect to the generalized Tanaka-Webster connection e r and also characterize conharmonically flat and locally-conharmonically symmetric Kenmotsu manifold with respect to the connection e r. Besides these we also classify Kenmotsu manifolds which satisfy e K e R D 0 and e P e K D 0, where e K and e P are the conharmonic curvature tensor, the projective curvature tensor and Riemannian curvature tensor, respectively with respect to the connection e r.

The present paper aims at studying a Ricci solitons on para-Sasakian manifolds. We give the results on Ricci solitons in para-Sasakian manifold satisfying the conditions  ,where P , H are pseudo-projective and quasi-conharmonic curvature tensors, respectively. MSC(2000): 53C21; 53C44; 53C25.